Chapter 22. Gauss’s law for the electric field (16-9)

Question

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{"title":"Electric flux through a closed surface","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,50,44,98\"}]"} {"title":"Net amount of charge enclosed within the surface","description":"Incorrect","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"148,22,184,67\"}]"} {"title":"Permittivity of free space = 1/(4 pi k)","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"175,93,205,123\"}]"}

Question

Z2Zu/L5P+txcrWKgfOyFIvW3f2xal1SAz55uwUIUBK754stggm3OAD75tQKDFvURYLWEjg==
{"title":"Electric flux through a closed surface","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,50,44,98\"}]"} {"title":"Net amount of charge enclosed within the surface","description":"Correct!","type":"correct","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"148,22,184,67\"}]"} {"title":"Permittivity of free space = 1/(4 pi k)","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"175,93,205,123\"}]"}

Question

+D4JavfE2x5TPE8bzzZUoErT3gBiSxBJy4RxAbXJwTKWiD0vkalh4t/0tBJlcGsP
{"title":"Electric flux through a closed surface","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,50,44,98\"}]"} {"title":"Net amount of charge enclosed within the surface","description":"Incorrect","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"148,22,184,67\"}]"} {"title":"Permittivity of free space = 1/(4 pi k)","description":"Correct!","type":"correct","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"175,93,205,123\"}]"}

Review

The first of Maxwell’s equations is Gauss’s law for the electric field, which we first encountered in Section 16-6. It states that the net electric flux through a closed surface (called a Gaussian surface) is proportional to the total amount of electric charge enclosed within that surface:

In this equation we’ve added a subscript \(E\) to remind us that the quantity on the left-hand side is the flux of the electric field \(\vec{E}\).